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Finding the Third Proportional to 102,335,571 and 222,601,352

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Solution

The third proportional to 102,335,571 and 222,601,352 is: 484,204,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,335,571 : 222,601,352 = 222,601,352 : x
  2. Step 2: Convert to fraction form
    102,335,571/222,601,352 = 222,601,352/x
  3. Step 3: Cross multiply
    102,335,571x = 222,601,352 × 222,601,352
  4. Step 4: Simplify right side
    102,335,571x = 49,551,361,912,227,904
  5. Step 5: Solve for x
    x = 49,551,361,912,227,904/102,335,571
  6. Step 6: Final answer
    x = 484,204,675.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.